The implementation of the unified transform to the nonlinear Schrödinger equation with periodic initial conditions
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DOI: 10.1007/s11005-021-01356-7
Abstract: The unified transform method (UTM) provides a novel approach to the analysis of initial boundary value problems for linear as well as for a particular class of nonlinear partial differential equations called integrable. If the… read more here.
Keywords: nonlinear schr; initial conditions; value; unified transform ... See more keywords
Solution to the 1D Stefan problem using the unified transform method
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/ac1b79
Abstract: In this paper the one-dimensional two-phase Stefan problem is studied analytically leading to a system of non-linear Volterra-integral-equations describing the heat distribution in each phase. For this the unified transform method has been employed which… read more here.
Keywords: transform method; unified transform; stefan; stefan problem ... See more keywords